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Finding the Fourth Proportional to 8,216.34, 11,338.18 and 5,034.93

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Solution

The fourth proportional to 8,216.34, 11,338.18 and 5,034.93 is: 6,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.34 : 11,338.18 = 5,034.93 : x
  2. Step 2: Convert to fraction form
    8,216.34/11,338.18 = 5,034.93/x
  3. Step 3: Cross multiply
    8,216.34x = 11,338.18 × 5,034.93
  4. Step 4: Simplify right side
    8,216.34x = 57,086,942.63
  5. Step 5: Solve for x
    x = 57,086,942.63/8,216.34
  6. Step 6: Final answer
    x = 6,947.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.